Jared estimates that his houseplant is as heavy as a 5 kilogram bowling ball. Draw a tape diagram to estimate the weight of 3 houseplants.

So cosine formula: a²= b²+c²-2bc × cos.A

so we doing A. x=5²+8²-2(5)(8) cos[58]

x= 46.60

hope this helps

Given that 60% of Olivia's fruit salad is made up of apples as opposed to Amadou's fruit salad's 52.63%, Olivia's fruit salad will have a more apple-forward flavor based on percent.

The amount of apples in each fruit salad needs to be compared in order to determine which salad will taste more apple-like.

There are 19 cups of fruit in Amadou's fruit salad, of which 10 cups are apples. By dividing the total number of cups of fruit by the number of cups of apples, and multiplying the result by 100, we can get the proportion of apples in Amadou's salad:

Apple's percent of Amadou's fruit salad is equal to (10/19) x 100, or 52.63%.

There are 5 cups of fruit in Olivia's fruit salad, of which 3 cups are apples. We can use the same formula to determine how much apple is in Olivia's salad:

Olivia's fruit salad contains 60% apples, or (3/5) x 100.

As a result, Olivia's fruit salad will taste more apple-like because apples make up 60% of it as opposed to only 52.63% of Amadou's fruit salad.

It is important to keep in mind that the maturity, sweetness, and freshness of the fruits used, as well as other elements like the dressing and presentation, may all affect how the fruit salad tastes.

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Answer:

3.75 feet

Step-by-step explanation:

The length of the frame is 3 times the width.

Let the width be x.

The length will be 3x.

Kyle uses 10 feet of wood to make the frame. This means that the perimeter is 10 feet.

The perimeter of a rectangle is:

P = 2(L + W)

=> 10 = 2(3x + x)

=> 10/2 = 4x

5 = 4x

=> x = 5/4 = 1.25 feet

The width is 1.25 feet. The length is therefore:

1.25 * 3 = 3.75 feet

Therefore, the solution to the inequality 3(y + 1/4) > 3/4 is y > 0.

An inequality is a mathematical statement that shows a relationship between two values, which are not necessarily equal. Inequalities are represented using symbols such as > (greater than), < (less than), ≥ (greater than or equal to), and ≤ (less than or equal to). Inequalities are commonly used in algebra and other areas of mathematics, as well as in real-world applications such as finance, economics, and science. They can be used to represent constraints or limits on a variable, such as the maximum or minimum value that it can take.

Here,

We can solve the inequality 3(y + 1/4) > 3/4 by first distributing the 3 to the expression inside the parentheses:

3y + 3/4 > 3/4

Next, we can simplify by subtracting 3/4 from both sides:

3y > 0

Finally, we can solve for y by dividing both sides by 3:

y > 0/3

y > 0

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Answer:

250

Step-by-step explanation:

The correct answers are 1st and 4th i.e translate 2 units down and reflect the triangle.

We can easily deduce that the triangle A'B'C' is 2 units higher than the triangle ABC so if we want to map the both the triangles we have to make the triangle A'B'C' lower in the graph.

So, both the 1st and 4th points translate and reflect down the triangle A'B'C'  which will be mapped according to the triangle ABC.

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Answer:

7%

Step-by-step explanation:

When multiplying with decimals as percentage rates, we start with the original 100% in something. That is also represented as 1.00. Since Trina multiplied with 1.07, that .07 is the amount added, which is 7% when converting the decimal to a percent.

Step-by-step explanation:

In this question, I see an outlier. Most of the time you may want to solve the inequality, but check how the answers are phrased in relation to the inequality. The equation shows a > symbol.

Answer A states, "save at least $72." If the inequality used a greater than or equal to sign this could work, yet it uses a > symbol. I would go with B & C, if you haven't chosen already.

Answer:1152

Step-by-step explanation:monkey

Using p for price and q for quantity, the demand function is; q = -3/2p + 1590

Given that at;

The monthly demand at a price of $900 = 240

The monthly demand at a price of $850 = 315

We are told that the system is a linear function. Therefore demand function would be in the form of slope intercept form as;

q = mp + c

Where;

q = quantity demanded

p = price

m = slope

c = y-intercept

At a price of $900 with a monthly demand of 240 gives the equation;

240 = 900m + c  ---(1)

At a price of $850 with a monthly demand of 315 gives the equation;

315 = 850m+ c  ------(2)

Subtracting eqn 2 from 1 gives;

-75 = 50m

m = -75/50

m = -3/2

Substituting m = -3/2 into equation 1;

240= -3/2(900) + c

c = 240 + 3/2(900)

c = 1590

Therefore the demand function can be given as; substituting m and c into equation 5, we have; q = -3/2p + 1590

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.65 * 120 = 6.5 * 12 = 65 * 1.2 = 65 + 13 = 78 students ate pizza

double check

78 / 120 = 0.65

please give brainliest

1) The 95% confidence interval estimate of the mean net change in LDL cholesterol after the garlic treatment is 5.3 ± 5.6.

2) Regarding the effectiveness of garlic in reducing LDL cholesterol, the confidence interval suggests A. The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

The confidence interval estimate shows us the mean estimate plus or minus the margin of error (or variation in the estimate).

On the other hand, the margin of error is the difference between the actual and projected results in a random sample.

The number of subjects treated with garlic, n = 48

The mean changes in LDL cholesterol level = 5.3

The standard deviation = 19.6

The 95% confidence interval gives a Z-score of 1.96

The margin of error = Z-score x standard deviation/√n

= 1.96 x 19.6/√48

= 1.96 x 19.6/6.9

= 1.96 x 2.84

= 5.6

Lower Limit = Mean - Margin of Error

= 5.3 - 5.6

= -0.3

Upper Limit = Mean + Margin of Error

= 5.3 + 5.6

= 10.9

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2. What does the confidence interval suggest about the effectiveness of garlic in reducing LDL cholesterol?

A.The confidence interval limits contain 0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

B.The confidence interval limits do not contain0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

C.The confidence interval limits do not contain​0, suggesting that the garlic treatment did not affect the LDL cholesterol levels.

D.The confidence interval limits contain ​0, suggesting that the garlic treatment did affect the LDL cholesterol levels.

The number of basil leaves required will be 12.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Monica makes tomato sauce with the plants she grows in her garden. she uses 3 basil leaves in her sauce for every 8 tomatoes. she is making a big batch of sauce with 32 tomatoes from her garden.

The number of basil leaves will be calculated as:-

3 basil leaves = 8 tomatoes

1 tomato = 3 / 8 basil leaves

32 tomatoes = ( 32 x 3) / 8 = 4 x 3 = 12

Therefore, the number of basil leaves required will be 12.

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The completely factoring form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

To completely factor the expression 6a^2 - 15a + 6, the first step is to check if there is a common factor among the coefficients (6, -15, and 6) and the terms (a^2, a, and 1).

In this case, we can see that the common factor among the coefficients is 3, so we can factor out 3:

3(2a^2 - 5a + 2)

Now we need to factor the quadratic expression inside the parentheses further. We are looking for two binomials that, when multiplied, give us 2a^2 - 5a + 2. The factors of 2a^2 are 2a and a, and the factors of 2 are 2 and 1. We need to find two numbers that multiply to give 2 and add up to -5.

The numbers -2 and -1 fit this criteria, so we can rewrite the expression as:

3(2a - 1)(a - 2)

Therefore, the completely factored form of 6a^2 - 15a + 6 is 3(2a - 1)(a - 2).

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Answer:

Multiply the first equation by -5

The measure of angle A'B'C' will be 90 degree.

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

Right angle ABC is taken by dilation with center P and scale factor 1/2 to angle A’B’C’.

Now,

Since, We know that;

When a figure is dilated by a scale factor then the shape of the figure is not change.

Thus, The measure of ABC is same as the measure of A'B'C'.

Here, The measure of angle ABC = 90 degree

Hence, The measure of angle A'B'C' = 90 degree.

Therefore, The measure of angle A'B'C' will be 90 degree.

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Answer:

Proofs attached to answer

Step-by-step explanation:

Proofs attached to answer

Answer:

We can use the formula for compound interest to solve this problem. The formula is:

A = P * (1 + r/n)^(n*t)

where:

A = the amount of money after t years

P = the principal amount (the initial investment)

r = the annual interest rate (as a decimal)

n = the number of times the interest is compounded per year

t = the number of years

In this case, P = $5000, r = 0.03, n = 12 (since the interest is compounded monthly), and t = 10. Plugging these values into the formula, we get:

A = 5000 * (1 + 0.03/12)^(12*10)

A = 5000 * (1.0025)^120

A ≈ $6,621.36

So the investment will be worth approximately $6,621.36 after 10 years.

Answer:

11699 numbers and 42 two-digit numbers

The graph of g(x) is shifted 4 units up from the parent function

The equation of the parent function f(x) is given as

f(x) = x

The transformed function is given as

g(x) = x + 4

Substitute the known values in the above equation, so, we have the following representation

g(x) = f(x) + 4 or g(x) = f(x + 4)

This means that the function is shifted to the left by 4 units or it is shifted up by 4 units

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The equation is:

R - 8 = 4

So to get R all by itself, you can add+8 to BOTH sides of the equation. This will 'cancel' the -8 that is next to R.

R - 8 + 8 = 4 + 8

-8 + 8 = 0 so let's simplify:

R + 0 = 4 + 8

Simplify a little more:

R = 12

After making payments for 15 years, the amount still owed on the mortgage would be approximately $145052.36.

To determine how much will still be owed after making payments for 15 years, we can use the formula for the remaining balance on a mortgage:

Remaining balance = P ((1 + r)ⁿ - (1 + r)ᵇ) / ((1 + r)ⁿ - 1)

where:

P = the initial loan amount (in this case, $219,000)

r = the monthly interest rate (which is the annual interest rate divided by 12)

n = the total number of monthly payments (which is 30 years times 12 months per year, or 360 months)

b = the number of monthly payments made so far (which is 15 years times 12 months per year, or 180 months)

First, we need to calculate the monthly interest rate:

r = 4.5% / 12 = 0.00375 = 0.375%

Next, we can plug in the values to get:

Remaining balance = $219,000 ((1 + 0.00375)³⁶⁰- (1 + 0.00375)¹⁸⁰) / ((1 + 0.00375)³⁶⁰ - 1)

= $145052.36

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Answer:

Step-by-step explanation:

Sally paints ⅛ of a room per hour.

Steve paints ⅙ of a room per hour.

Working together, they paint ⅛ + ⅙ = 7/24 of the job per hour, finishing in 24/7 hours.

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

There's supposed to be a picture to answer from because we don't know where are JL included in the square.

The amount which Guillermo will have to pay on a monthly basis to keep his home insurance is; $270.83

From the information given;

In essence, his annual home owner insurance premium is 0.52% of the house value and can be evaluated as follows;

Therefore, his annual premium is set at $3,250.

However, we are required to determine what will Guillermo have to pay on a monthly basis.

Therefore, we have; $3,250 spread equally over 12 months.

Therefore, we have; $3,250/12 = $270.83

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The amount that Guillermo will pay monthly to keep his home insurance is $270.83.

An insurance premium is a charge that the insurer demands from the insured periodically as part of the pooling of risks under an insurance contract.

House value = $625,000

Insurance premium rate = $0.52 per $100

Annual premium = $3,250 ($625,000 x $0.52/$100)

Monthly premium = $270.83 ($3,250/12)

Thus, the amount that Guillermo will pay monthly to keep his home insurance is $270.83.

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Answer:

Step-by-step explanation:

The expression 2x - 11x - 6 can be simplified as follows:

2x - 11x - 6 = -9x - 6

So, the equivalent expression is -9x - 6.

The answer is:

-9x - 6

Work/explanation:

To simplify this expression, we combine the like terms :

\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)

There's nothing that we can do for this expression. It's been simplified as much as possible.

Answer:

30 green, 18 red

Step-by-step explanation:

says it in the statement lol